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Finding the Fourth Proportional to 251,606.68, 377,447.26 and 83,144.78

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Solution

The fourth proportional to 251,606.68, 377,447.26 and 83,144.78 is: 124,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,606.68 : 377,447.26 = 83,144.78 : x
  2. Step 2: Convert to fraction form
    251,606.68/377,447.26 = 83,144.78/x
  3. Step 3: Cross multiply
    251,606.68x = 377,447.26 × 83,144.78
  4. Step 4: Simplify right side
    251,606.68x = 31,382,769,394.30
  5. Step 5: Solve for x
    x = 31,382,769,394.30/251,606.68
  6. Step 6: Final answer
    x = 124,729.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.